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Finding the Third Proportional to 205,044 and 443,774

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Solution

The third proportional to 205,044 and 443,774 is: 960,454.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,044 : 443,774 = 443,774 : x
  2. Step 2: Convert to fraction form
    205,044/443,774 = 443,774/x
  3. Step 3: Cross multiply
    205,044x = 443,774 × 443,774
  4. Step 4: Simplify right side
    205,044x = 196,935,363,076
  5. Step 5: Solve for x
    x = 196,935,363,076/205,044
  6. Step 6: Final answer
    x = 960,454.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.